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Initialization of Fractional-Order Systems Using the Hankel Operator

[+] Author Affiliations
Jay L. Adams, Robert J. Veillette, Tom T. Hartley

University of Akron, Akron, OH

Paper No. DETC2011-48426, pp. 395-401; 7 pages
doi:10.1115/DETC2011-48426
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5480-8
  • Copyright © 2011 by ASME

abstract

This paper demonstrates the use of the Hankel operator to characterize the initial-condition response of a fractional-order system. A general initial-condition response can be determined for any input applied before t = 0 . Two techniques for approximating the Hankel operator are discussed. These approximation methods are applied to illustrative examples, demonstrating a general characterization of natural responses.

Copyright © 2011 by ASME
Topics: Approximation

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